Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
Answer:
Solving the inequality we get: 
Step-by-step explanation:
We need to solve and graph the inequality 
Solving:

Step 1: Multiply 3 with terms inside the bracket

Step 2:Subtracting 51 on both sides

Step 3: Subtract 14x on both sides

Step 4: Divide both sides by 7

Solving the inequality we get: 
The graph is attached in the figure below.
The answer is 2/3 X -13/12 = -5/12x